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Finding the Third Proportional to 160,278.75 and 247,356.56

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Solution

The third proportional to 160,278.75 and 247,356.56 is: 381,742.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,278.75 : 247,356.56 = 247,356.56 : x
  2. Step 2: Convert to fraction form
    160,278.75/247,356.56 = 247,356.56/x
  3. Step 3: Cross multiply
    160,278.75x = 247,356.56 × 247,356.56
  4. Step 4: Simplify right side
    160,278.75x = 61,185,269,011.82
  5. Step 5: Solve for x
    x = 61,185,269,011.82/160,278.75
  6. Step 6: Final answer
    x = 381,742.86

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.